Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field

Abstract

We prove that the beta function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the relevant dynamic parameters and find a non-Gaussian infrared fixed point. Some consequences of these results are discussed.

14 pages, 5 figures

References in corpus (5)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
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• One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
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Cited by in corpus (1)

• Duality covariant quantum field theory on noncommutative Minkowski space